Geodesic
On one Arkhipov--Karatsuba's system of congruencies
Čebyševskij sbornik, Tome 17 (2016) no. 3, pp. 186-190.

Voir la notice de l'article provenant de la source Math-Net.Ru

The Arkhipov–Karatsuba's system of congruencies by arbitrary modulo, greater than a degree of forms in it, has a solution for any right-hand parts, and for the number on unknowns exceeding the value $8(n+1)^2\log_2n+12(n+1)^2+4(n+1),$ where $n$ is the degree of forms of this system. Bibliography: 9 titles.
Keywords: diophantine equations, Arkhipov–Karatsuba's system. 
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H. M. Saliba. On one Arkhipov--Karatsuba's system of congruencies. Čebyševskij sbornik, Tome 17 (2016) no. 3, pp. 186-190. http://geodesic.mathdoc.fr/item/CHEB_2016_17_3_a13/

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[2] Arkhipov G. I., Karatsuba A. A., “Mnogomernyi analog problemy Varinga”, Dokl. AN SSSR, 295:3 (1987), 75–77 | Zbl

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[6] Karatsuba A. A., “Ob odnoi sisteme sravnenii”, Matem. zametki, 19:3 (1976), 389–392 | MR | Zbl

[7] Arkhipov G. I., Chubarikov V. N., Karatsuba A. A., Trigonometric Sums in Number Theory and Analysis, De Gruyter Expositions in Mathematics, 39, Walter de Gruyter, Berlin–New York, 2004, 554 pp. | MR | Zbl

[8] Arkhipov G. I., Sadovnichii V. A., Chubarikov V. N., Lektsii po matematicheskomu analizu, 5-e izd., pererab. i dop., Drofa, M., 2007, 640 pp.

[9] Saliba Kh. M., Chubarikov V. N., “Ob odnom obobschenii summy Gaussa”, Vestnik Mosk. un-ta. Ser. 1. Mat., Mekh., 2009, no. 2, 76–80